How would this build perform?

Ok so im trying to build a cheap pc, i have one build already in mind if this fails since i like the size of micro's since im always never home and can bring this around. So here it his, im looking to be able to play BF3, Skyrim, and a few other games on High/Ultra and not sure if this will live up to the task since this will be my first build.

 

CPU/Mobo (combo on newegg) - AMD A10-5800K &  ASRock FM2A85X Extreme4 - $212.98

GPU - ASUS HD6670-2GD3 - $82.99

RAM - G.SKILL Ripjaws X 32GB (4 x 8GB) 1600 - $179.99

PSU - RAIDMAX RX-600AF 600W - $49.99

Heatsink - CORSAIR Hydro Series H60 - $69.99

Case - COUGAR Spike - $29.99

I would say that's great for indie games, but I would personally drop the PSU to 500 watts, and get a Xigmatek Dark Knight for a cooler instead of an H60. Use that money you save and buy a 7770.

I was planning on overclocking along with running the APU in crossfire.

Why are you getting 32GB of RAM o.O?

8GB would suffice.

I thought that the APU/Onboard GPU suck up ram unlike a dedicated GPU?